So I just got a ghost mantis today!! I have a quick question though, the mantis is super small and have he/she in a 20 oz cup I think. Should I have a mesh lid or cloth?
I've used deli cups and similar containers with a cloth lid, with no problems. I usually put a bit of plastic mesh on the top in case they need a better grip for molting, though.
If in doubt use both, glue half strip of mesh on cloth cover or a strip of cloth on a mesh cover. I always gave my chameleons options and it should apply for climbing insects too. I would also give several vertical climbing options too.
Just make sure the weave on the mesh is small enough to keep small fruit flies in.